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Finding the Fourth Proportional to 3,842.81, 5,763.87 and 1,069.53

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Solution

The fourth proportional to 3,842.81, 5,763.87 and 1,069.53 is: 1,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.81 : 5,763.87 = 1,069.53 : x
  2. Step 2: Convert to fraction form
    3,842.81/5,763.87 = 1,069.53/x
  3. Step 3: Cross multiply
    3,842.81x = 5,763.87 × 1,069.53
  4. Step 4: Simplify right side
    3,842.81x = 6,164,626.53
  5. Step 5: Solve for x
    x = 6,164,626.53/3,842.81
  6. Step 6: Final answer
    x = 1,604.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.